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Finding the Fourth Proportional to 5,205.19, 7,803.68 and 1,916.49

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Solution

The fourth proportional to 5,205.19, 7,803.68 and 1,916.49 is: 2,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.19 : 7,803.68 = 1,916.49 : x
  2. Step 2: Convert to fraction form
    5,205.19/7,803.68 = 1,916.49/x
  3. Step 3: Cross multiply
    5,205.19x = 7,803.68 × 1,916.49
  4. Step 4: Simplify right side
    5,205.19x = 14,955,674.68
  5. Step 5: Solve for x
    x = 14,955,674.68/5,205.19
  6. Step 6: Final answer
    x = 2,873.22

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